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Finding the Fourth Proportional to 8,226.45, 12,350.34 and 3,846.78

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Solution

The fourth proportional to 8,226.45, 12,350.34 and 3,846.78 is: 5,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.45 : 12,350.34 = 3,846.78 : x
  2. Step 2: Convert to fraction form
    8,226.45/12,350.34 = 3,846.78/x
  3. Step 3: Cross multiply
    8,226.45x = 12,350.34 × 3,846.78
  4. Step 4: Simplify right side
    8,226.45x = 47,509,040.91
  5. Step 5: Solve for x
    x = 47,509,040.91/8,226.45
  6. Step 6: Final answer
    x = 5,775.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.